For starters, the great war happened on a Saturday, and as far as I know, children don't do school on saturdays. Another problem with this is that the children were most likely, there at night. In a house in D.C where a robot still does daily chores, burned out skeletons are there, but the big problem? The people were asleep when they died.
Sorry, I just am confused about what happened, and I hope this will be answered well.
Thanks!